Recently, another kagome magnet family \(R\) Mn\(_6\) Sn\(_6\)  (\(R\)  = trivalent rare earth elements) also has received much attention [1]}, [2]}, [3]}, [4]}. They have the same layered hexagonal structure (space group P6/mmm), which is composed by kagome Mn\(_3\)  layers alternatively inserted by \(R\) Sn\(_2\)  and Sn\(_4\)  layers. All the members are magnetic ordered with relatively high transition temperatures [5]}, [6]}, [7]}, [8]}. Among these materials, TbMn\(_6\) Sn\(_6\) , with a ferrimagnetic order perpendicular to the kagome lattice, was found to have the Chern gapped Dirac fermions [1]}. Antiferromagnetic YMn\(_6\) Sn\(_6\)  was found to exhibit giant topological Hall effect near room temperature [2]}. Although with multiple magnetic structures and fascinating properties, ferromagnetism is absent in \(R\) Mn\(_6\) Sn\(_6\)  family and the discovered anomalous Hall effect among them is not impressive. Actually, the \(R\)  elements can be completely replaced by Li, Mg, or Ca, and the magnetism of the new systems are all ferromagnetic [11]}, [12]}. In the meantime, the lower valences of Li, Mg, and Ca also reduce the system's number of valence electrons. Thus, the simultaneously tuned magnetic and electronic states in these new “166" compounds give us a chance to pursue larger anomalous Hall effect and other new phenomena.
